Save As PDF.pdf

Chapter 5 solutions include various statistical calculations and normal distributions.
1. a. 10, b. 1.25,
3. N(10, 1.25),
5. 0.7799,
7. 1.675,
9. Mean = 25, standard deviation = 0.29,
10. Mean = 48, standard deviation = 0.83,
11. Mean = 90, standard deviation = 0.75,
12. Mean = 120, standard deviation = 0.38,
13. Mean = 17, standard deviation = 0.17,
14. Expected value = 17, standard deviation = 0.05,
15. Expected value = 38, standard deviation = 0.43,
16. Expected value = 14, standard deviation = 0.65,
17. 0.9818,
18. 0.8788,
19. 0.3050,
20. 0.8294,
21. 0.4884,
22. 0.5000,
23. 0.4761,
24. 0.5160.
Normal distributions are described for various scenarios, including the amount of change students carry, the length of time to complete IRS form 1040, and the length of songs in a collection.
The Central Limit Theorem is discussed, stating that the larger the sample, the closer the sampling distribution of the means becomes normal, and the standard deviation of the sampling distribution of the means decreases as the sample size increases.
Other problems involve calculating probabilities and understanding the properties of normal distributions.